A number is increased by 20% and then decreased by 20%. The resulting number is 20 less than the original. Find the original number. MCQ with Answer and Explanation

A number is increased by 20% and then decreased by 20%. The resulting number is 20 less than the original. Find the original number.
A. 500
B. 450
C. 550
D. 400
Answer: Option A
Solution (By JKSSB Mock Tests)
1.2×0.8=0.96, 0.96x = x - 20 → 0.04x=20 → x=500.

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Practice More Percentage Questions

Question #1
Machine depreciates 15% per year. Present value Rs. 72,250, value 2 years ago was:
A. 95,000
B. 1,00,000
C. 1,05,000
D. 90,000

Correct Answer: Option B


Explanation:
Value 2 years ago = 72250 / (0.85×0.85) = 72250 / 0.7225 = 1,00,000.

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Question #2
Weight reduced from 90 kg to 81 kg. Percentage decrease:
A. 11%
B. 9%
C. 8%
D. 10%

Correct Answer: Option D


Explanation:
Decrease = 9 kg, (9/90)×100 = 10%.

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Question #3
72% passed an exam. Failures = 560. Total examinees:
A. 2500
B. 2200
C. 1800
D. 2000

Correct Answer: Option D


Explanation:
28% = 560, total = 560/0.28 = 2000.

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